24,40
20,30
42,56
9,15,24
20,28,36
Answer:
32f + 72
Step-by-step explanation:
-8(-4f-9)
Distribute
(-8)(-4f) + (-8)(-9)
Multiply
32f + 72
Hope this helps :)
Answer:
32f+72
Step-by-step explanation:
Distribute the -8
Answer: The city sale tax rate is 0.016
Step-by-step explanation:
Hi, to calculate the city tax rate we simply have to multiply the state sales tax rate (0.08) by 0.2 (because city sales tax rate is 0.2 times the state sales tax rate.)
Mathematically speaking:
0.08 x 0.2 = 0.016
So, the city sale tax rate is 0.016
Feel free to ask for more if needed or if you did not understand something.
to the nearest square foot.
Answer:
133,371
Step-by-step explanation:
b times h divided by 2
522 x 511 x 1/2 = 133,371
Answer:
The period of Y increases by a factor of with respect to the period of X
Step-by-step explanation:
The equation shows the relationship between the orbital period of a planet, T, and the average distance from the planet to the sun, A, in astronomical units, AU. If planet Y is k times the average distance from the sun as planet X, at what factor does the orbital period increase?
For the planet Y:
For planet X:
To know the factor of aumeto we compared with
We know that the distance "a" from planet Y is k times larger than the distance from planet X to the sun. So:
Finally the period of Y increases by a factor of with respect to the period of X
O A. 1.05%
O B. 10.49%
O C. 4.91%
O D. 4%
Answer:
C. 4.91%
Step-by-step explanation:
The effect of frequent compounding is to increase the nominal interest rate by a small factor. For interest rates in a practical range (<20%/year), the effective increase in rate will be approximately half the original interest rate.
For an interest rate of 4.8%, we expect the compounding to increase it by less than 2.4%. The maximum effective rate due to compounding is approximately (4.8%)(1 +2.4%) ≈ 4.91%.
For nominal annual rate r compounded n times per year, the effective annual rate is ...
r' = (1 +r/n)^n -1
For r = 0.048 and n = 12, this becomes ...
r' = (1 +0.048/12)^12 -1 = 1.004^12 -1 ≈ 1.049070208 -1 ≈ 4.91%
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Additional comment
After you have worked with interest compounding for a bit, you realize compounding increases the effective rate by a small amount. That means the value will be more than 4.8% (eliminating choices A and D), but certainly will not be as high as 10% (eliminating choice B). The only reasonable choice is C, which happens to be the correct one.